Thread: inversed Z Transform

Hello!
I have a question,could you please give an idea about how can I calculate an inversed Z transform of these ( Z^(-1)[...] ) :

z/(z^2+z+1)

and

z^2/(z^2+z+1)

Thank you in advance.

Originally Posted by inzaghina

Hello!
I have a question,could you please give an idea about how can I calculate an inversed Z transform of these ( Z^(-1)[...] ) :

z/(z^2+z+1)

and

z^2/(z^2+z+1)

Thank you in advance.

You should probably factorize.
Also you may refer to Mathematica 7.0 - InverseZTransform.
As a little note, if , then we can not find an exponentially bounded sequence for which [tex]f(n)=Z^{-1}\{F(z)\}(n)[\math] holds.

Well, I have to do that by hand, not in the computer.
And I did a mistake, I have to solve Z^(-1) of :

z/(z^2+z+1)^2

and

z^2/(z^2+z+1)^2

have a good day!

Originally Posted by inzaghina

Hello!
I have a question,could you please give an idea about how can I calculate an inversed Z transform of these ( Z^(-1)[...] ) :

z/(z^2+z+1)

divide top and bottom by to get:



then look this up in a table of inverse z-transforms (item 18 in the table in the Wikipedia article on the z-transform looks like what you need)

CB